LEADER 03460nam 22005175 450 001 9910254070503321 005 20230216100315.0 010 $a3-319-49314-0 024 7 $a10.1007/978-3-319-49314-5 035 $a(CKB)3710000001006490 035 $a(DE-He213)978-3-319-49314-5 035 $a(MiAaPQ)EBC6312308 035 $a(MiAaPQ)EBC5610742 035 $a(Au-PeEL)EBL5610742 035 $a(OCoLC)965145667 035 $a(PPN)197137784 035 $a(EXLCZ)993710000001006490 100 $a20161130d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCalculus and Analysis in Euclidean Space /$fby Jerry Shurman 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XIII, 507 p. 182 illus., 59 illus. in color.) 225 1 $aUndergraduate Texts in Mathematics,$x2197-5604 300 $aIncludes index. 311 $a3-319-49312-4 327 $aPreface -- 1 Results from One-Variable Calculus -- Part I Multivariable Differential Calculus -- 2 Euclidean Space -- 3 Linear Mappings and Their Matrices -- 4 The Derivative -- 5 Inverse and Implicit Functions -- Part II Multivariable Integral Calculus -- 6 Integration -- 7 Approximation by Smooth Functions -- 8 Parameterized Curves -- 9 Integration of Differential Forms -- Index. 330 $aThe graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, Calculus and Analysis in Euclidean Space offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject. The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of geometric intuition (the visual cortex being quickly instinctive) algebraic manipulation (symbol-patterns being precise and robust) incisive use of natural language (slogans that encapsulate central ideas enabling a large-scale grasp of the subject). Thinking in these ways renders mathematics coherent, inevitable, and fluid. The prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs. 410 0$aUndergraduate Texts in Mathematics,$x2197-5604 606 $aMathematical analysis 606 $aAnalysis 615 0$aMathematical analysis. 615 14$aAnalysis. 676 $a519.535 700 $aShurman$b Jerry$4aut$4http://id.loc.gov/vocabulary/relators/aut$0303262 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254070503321 996 $aCalculus and analysis in euclidean space$91523205 997 $aUNINA LEADER 03891nam 2200937z- 450 001 9910566467803321 005 20220506 035 $a(CKB)5680000000037702 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/81054 035 $a(oapen)doab81054 035 $a(EXLCZ)995680000000037702 100 $a20202205d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aRiver Ecological Restoration and Groundwater Artificial Recharge 210 $aBasel$cMDPI - Multidisciplinary Digital Publishing Institute$d2022 215 $a1 online resource (204 p.) 311 08$a3-0365-3469-5 311 08$a3-0365-3470-9 330 $aThree of the eleven papers focused on groundwater recharge and its impacts on the groundwater regime, in which recharge was caused by riverbed leakage from river ecological restoration (artificial water replenishment). The issues of the hydrogeological parameters involved (such as the influence radius) were also reconsidered. Six papers focused on the impact of river ecological replenishment and other human activities on river and watershed ecology, and on groundwater quality and use function. The issues of ecological security at the watershed scale and deterioration of groundwater quality were of particular concern. Two papers focused on water resources carrying capacity and water resources reallocation at the regional scale, in the context of the fact that ecological water demand has been a significant topic of concern. The use of unconventional water resources such as brackish water has been emphasized in the research in this issue. 606 $aHistory of engineering and technology$2bicssc 606 $aTechnology: general issues$2bicssc 610 $aalga control 610 $aartificial ecological water supplement 610 $abrackish water 610 $adistribution 610 $aDPSIR model framework 610 $adrinking suitability 610 $aDupuit 610 $aecological restoration 610 $aEcopath model 610 $aenvironmental management 610 $afactor analysis 610 $afluorine 610 $aformation 610 $afuzzy comprehensive evaluation model 610 $ageneral algebraic modeling system 610 $agroundwater 610 $agroundwater flow system 610 $agroundwater hydrochemistry 610 $agroundwater numerical simulation 610 $agroundwater quality 610 $agroundwater recharge resources amount evaluation 610 $ahealth risk assessment 610 $ahuman health risk 610 $ahydrogeochemistry 610 $ainfluence radius 610 $ainverse modeling 610 $aionic ratios 610 $airrigation suitability 610 $aLianshi Lake 610 $aMODFLOW 610 $an/a 610 $anumerical simulation 610 $aSongnen Plain 610 $asustainable development 610 $aThiem 610 $atypical biological chain 610 $auncertainty analysis 610 $awater allocation 610 $awater diversion project 610 $awater resources carrying capacity 610 $awatershed ecological security assessment 610 $aweight sensitivity analysis 610 $aYangtze River 610 $aYongding River 615 7$aHistory of engineering and technology 615 7$aTechnology: general issues 700 $aZhai$b Yuanzheng$4edt$01327932 702 $aWu$b Jin$4edt 702 $aWang$b Huaqing$4edt 702 $aZhai$b Yuanzheng$4oth 702 $aWu$b Jin$4oth 702 $aWang$b Huaqing$4oth 906 $aBOOK 912 $a9910566467803321 996 $aRiver Ecological Restoration and Groundwater Artificial Recharge$93038293 997 $aUNINA